On Affine Real Cubic Surfaces

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Publication date: 19 August 2022

Abstract: We prove that the space of affine, transversal at infinity, non-singular real cubic surfaces has 15 connected components. We give a topological criterion to distinguish them and show also how these 15 components are adjacent to each other via wall-crossing.

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Classification of affine varieties (14R05) Families, moduli, classification: algebraic theory (14J10) Topology of real algebraic varieties (14P25)

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